You have rapidly advanced from tenuous rapprochement to enbroilment in invidious difficulties with entirely too much haste for my temperament or inclinations. However, since you seem to have a death wish, I shall not fail to encourage a spectacular denouement to your life's apparent tragic trajectory.
The Battlegroup Auxesia is a group of misbegotten ne'er-do-wells whom The Core has jettisoned from its bowels without pausing to think of the stain and stink thus inflicted upon the remainder of the sector. They have, since entering Liberty some months ago, committed murder, exclamations, base stupidity of word and deed, and sundry other deeds that provide ample evidence of their constitutional inability to engage in the simple act of Not Irritating Professor Moriarty. Therefore, they must die, in as fiery and utterly unpleasant a manner as may be conveniently arranged, so as to discourage repetition of their misdeeds by others and sundry. If you wish to assist them in meeting such a joyous fate, we may be able to offer adequate to generous renumeration post facto. If you have recently inhaled before reading this missive, that is to say, kill them and we may pay you many credits.
As to the Hellfire Legion, our attitude and stance is relatively simple: if they stay off our scanners we are not obliged to reduce them to blubbering protoplasm. We do not go out of our way to induce such blubbering, because, simply put, we have more important items on our agenda, such as inducing Navy pilots to sob and stain their uniforms. (As you may have noticed, the Liberty Navy wears brown pants for a reason.) Therefore, we do not see it in our interest to needlessly agress against the Legion. They agress enough for three Houses all by themselves.
If these items meet with your expectedly low expectations for satisfaction, then I suggest you propose specific terms for your future adventures in Liberty space.